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Finding the Third Proportional to 306,731.81 and 628,337.25

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Solution

The third proportional to 306,731.81 and 628,337.25 is: 1,287,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,731.81 : 628,337.25 = 628,337.25 : x
  2. Step 2: Convert to fraction form
    306,731.81/628,337.25 = 628,337.25/x
  3. Step 3: Cross multiply
    306,731.81x = 628,337.25 × 628,337.25
  4. Step 4: Simplify right side
    306,731.81x = 394,807,699,737.56
  5. Step 5: Solve for x
    x = 394,807,699,737.56/306,731.81
  6. Step 6: Final answer
    x = 1,287,142.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.